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Simplifying 12x + 8 = y(3x + y) Reorder the terms: 8 + 12x = y(3x + y) 8 + 12x = (3x * y + y * y) 8 + 12x = (3xy + y2) Solving 8 + 12x = 3xy + y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3xy' to each side of the equation. 8 + 12x + -3xy = 3xy + -3xy + y2 Combine like terms: 3xy + -3xy = 0 8 + 12x + -3xy = 0 + y2 8 + 12x + -3xy = y2 Add '-8' to each side of the equation. 8 + 12x + -8 + -3xy = -8 + y2 Reorder the terms: 8 + -8 + 12x + -3xy = -8 + y2 Combine like terms: 8 + -8 = 0 0 + 12x + -3xy = -8 + y2 12x + -3xy = -8 + y2 Reorder the terms: 8 + 12x + -3xy + -1y2 = -8 + y2 + 8 + -1y2 Reorder the terms: 8 + 12x + -3xy + -1y2 = -8 + 8 + y2 + -1y2 Combine like terms: -8 + 8 = 0 8 + 12x + -3xy + -1y2 = 0 + y2 + -1y2 8 + 12x + -3xy + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 8 + 12x + -3xy + -1y2 = 0 The solution to this equation could not be determined.
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